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Finding the Fourth Proportional to 940.48, 1,297.74 and 520.77

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Solution

The fourth proportional to 940.48, 1,297.74 and 520.77 is: 718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.48 : 1,297.74 = 520.77 : x
  2. Step 2: Convert to fraction form
    940.48/1,297.74 = 520.77/x
  3. Step 3: Cross multiply
    940.48x = 1,297.74 × 520.77
  4. Step 4: Simplify right side
    940.48x = 675,824.06
  5. Step 5: Solve for x
    x = 675,824.06/940.48
  6. Step 6: Final answer
    x = 718.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.